2101131323313 has 32 divisors (see below), whose sum is σ = 3060561055104. Its totient is φ = 1271592960000.

The previous prime is 2101131323287. The next prime is 2101131323353. The reversal of 2101131323313 is 3133231311012.

It is not a de Polignac number, because 2101131323313 - 2¹⁴ = 2101131306929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101131323353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123290073 + ... + 123307113.

It is an arithmetic number, because the mean of its divisors is an integer number (95642532972).

Almost surely, 2^{2101131323313} is an apocalyptic number.

It is an amenable number.

2101131323313 is a deficient number, since it is larger than the sum of its proper divisors (959429731791).

2101131323313 is a wasteful number, since it uses less digits than its factorization.

2101131323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22177.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2101131323313 its reverse (3133231311012), we get a palindrome (5234362634325).

The spelling of 2101131323313 in words is "two trillion, one hundred one billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred thirteen".